Spatial autoregressive and moving average Hilbertian processes

  title={Spatial autoregressive and moving average Hilbertian processes},
  author={Mar{\'i}a Dolores Ruiz-Medina},
  journal={J. Multivariate Analysis},
This paper addresses the introduction and study of structural properties of Hilbertvalued spatial autoregressive processes (SARH(1) processes), and Hilbert-valued spatial moving average processes (SMAH(1) processes), with innovations given by two-parameter (spatial) matingale differences. For inference purposes, the conditions under which the tensorial product of standard autoregressive Hilbertian (ARH(1)) processes (respectively, of standard moving average Hilbertian (MAH(1)) processes) is a… CONTINUE READING